Linear and Nonlinear similarity of matrices
Linear and Nonlinear similarity of matrices

Yangyang Li, Princeton University
Fine Hall 314
InPerson Talk
Two nbyn real matrices A and B are linearly similar if there is a nonsingular nbyn real matrix Q so that $B = QAQ^{1}$. In general, one can consider $\phi$ to be a homeomorphism of $R^n$ to itself, and if $B = \phi A \phi^{1}$ holds as maps, A and B are said to be topologically linear (nonlinearly similar). In this talk, we will discuss the relationship between these two similarities as well as their applications.